How to test seasonality of time series using One way ANOVA test?

Question

I did perform a one way ANOVA test on my data, I'm having problems understand the results, my p-value is 0.0721 .

Answer 1

The null hypothesis of an anova is that all group means are the same, hence, in your case the null hypothesis is that there is no seasonality. You got a quite small p value which doesn't cross the conventional alpha level of .05 or .01. Although there are some people who emphasize that dichotomous significance testing has no ontological basis. That is, we want to underscore that, surely, God loves the .06 nearly as much as the .05. So I would say you have some evidence that there might be some seasonality. But keep in mind, that even a significant p value doesn't tell you how relevant the effect is since in case of a big sample size little differences can be significant. You may want to read more about seasonality detection here, for example. Also, try to be more precise, i.e. provide some data, explain what you try to do or show a plot. I guess the lack of all this information is why your question got downvoted.